# What is the Greatest Common Factor of 3 and 11?

Greatest common factor (GCF) of 3 and 11 is 1.

GCF(3,11) = 1

We will now calculate the prime factors of 3 and 11, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3 and 11.

GCF Calculator and
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## How to find the GCF of 3 and 11?

We will first find the prime factorization of 3 and 11. After we will calculate the factors of 3 and 11 and find the biggest common factor number .

### Step-1: Prime Factorization of 3

Prime factors of 3 are 3. Prime factorization of 3 in exponential form is:

3 = 31

### Step-2: Prime Factorization of 11

Prime factors of 11 are 11. Prime factorization of 11 in exponential form is:

11 = 111

### Step-3: Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1

### Step-4: Factors of 11

List of positive integer factors of 11 that divides 3 without a remainder.

1

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3 and 11. The biggest common factor number is the GCF number.
So the greatest common factor 3 and 11 is 1.

Also check out the Least Common Multiple of 3 and 11